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Finding the Fourth Proportional to 13,674.60, 18,872.73 and 7,707.42

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Solution

The fourth proportional to 13,674.60, 18,872.73 and 7,707.42 is: 10,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.60 : 18,872.73 = 7,707.42 : x
  2. Step 2: Convert to fraction form
    13,674.60/18,872.73 = 7,707.42/x
  3. Step 3: Cross multiply
    13,674.60x = 18,872.73 × 7,707.42
  4. Step 4: Simplify right side
    13,674.60x = 145,460,056.66
  5. Step 5: Solve for x
    x = 145,460,056.66/13,674.60
  6. Step 6: Final answer
    x = 10,637.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.